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Finding the Fourth Proportional to 33,041.25, 49,552.16 and 9,662.13

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Solution

The fourth proportional to 33,041.25, 49,552.16 and 9,662.13 is: 14,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,041.25 : 49,552.16 = 9,662.13 : x
  2. Step 2: Convert to fraction form
    33,041.25/49,552.16 = 9,662.13/x
  3. Step 3: Cross multiply
    33,041.25x = 49,552.16 × 9,662.13
  4. Step 4: Simplify right side
    33,041.25x = 478,779,363.39
  5. Step 5: Solve for x
    x = 478,779,363.39/33,041.25
  6. Step 6: Final answer
    x = 14,490.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.